Theorem dfom3 4576

Description: Alias for df-iom 4575. Use it instead of df-iom 4575 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4575	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 103   = wceq 1348   e. wcel 2141   {cab 2156   A.wral 2448   (/)c0 3414   |^|cint 3831   suc csuc 4350   omcom 4574

This theorem depends on definitions:  df-iom 4575

This theorem is referenced by:  omex  4577  peano1  4578  peano2  4579  peano5  4582  bj-dfom  13968